Properties of the Number 2401

Two Thousand Four Hundred One

Basics

Value: 2400 → 2401 → 2402

Parity: odd

Prime: No

Previous Prime: 2399

Next Prime: 2411

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 7 ⁴

Divisors: 1, 7, 49, 343, 2401

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100001

Octal: 4541

Duodecimal: 1481

Hexadecimal: 961

Square: 5764801

Square Root: 49

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The squares: a(n) = n². A290

Fourth powers: a(n) = n⁴. A583

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Powers of 7: a(n) = 7ⁿ. A420

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

a(n) = prime(n)⁴. A30514

Number of "ON" cells at n-th stage in the "Ulam-Warburton" two-dimensional cellular automaton. A147562

Numbers whose sum of divisors is prime. A23194